Question

A car travels 2.47 km in the x-direction, then turns left 83.5◦ to the original direction and
travels an additional distance of 1.77 km.
Calculate the x component of the car’s net displacement.

Answer 1

Answer on Question #47777, Physics, Mechanics | Kinematics | Dynamics

A car travels $2.47\mathrm{km}$ in the x-direction, then turns left $83.5{}^{\circ}$ to the original direction and travels an additional distance of $1.77\mathrm{km}$ .

Calculate the x component of the car's net displacement.

Solution:

The x component of the car's net displacement is

$$d _ {x} = 2. 4 7 + 1. 7 7 \cos 8 3. 5 {}^ {\circ} = 2. 6 7 \mathrm {k m}$$

Answer: $d_{x} = 2.67 \mathrm{~km}$

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